Search a number
-
+
3400128 = 26325903
BaseRepresentation
bin1100111110000111000000
320101202002200
430332013000
51332301003
6200513200
740620624
oct14760700
96352080
103400128
111a12626
12117b800
13920814
14647184
154726a3
hex33e1c0

3400128 has 42 divisors (see below), whose sum is σ = 9747504. Its totient is φ = 1133184.

The previous prime is 3400127. The next prime is 3400157. The reversal of 3400128 is 8210043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3400128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2376 + ... + 3527.

Almost surely, 23400128 is an apocalyptic number.

It is an amenable number.

3400128 is an abundant number, since it is smaller than the sum of its proper divisors (6347376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3400128 is a wasteful number, since it uses less digits than its factorization.

3400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3400128 is about 1843.9436000052. The cubic root of 3400128 is about 150.3713465861.

The spelling of 3400128 in words is "three million, four hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5903 11806 17709 23612 35418 47224 53127 70836 94448 106254 141672 188896 212508 283344 377792 425016 566688 850032 1133376 1700064 3400128